You are given that X is a random variable with moment generating function Mx(t) and that Y is a random variable with moment generating function My(t). X and Y are independent. Which of the following is a valid moment generating function? 1. Мx(€) Мү(40) II. 3Mx(t) III. e' M x (t)

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Q: a) Find the moment generating function of X. b) Use the MGF to find E(X) and Var(X).

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Q: If Y is a random variable with moment generating function my (t)= e° , what is the mean of Y ?

A: Solution: Let Y be random variable with Moment generating function

Q: (a) Compute P(E' n F'). (b) Are E and F independent? (c) Are E and F mutually exclusive?

A: here p(E) = 0.3 p(F) = 0.6  p(E | F) = 1/6

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A: The distribution of the generating functions are given below:-

Q: Suppose that E and F are two events such that Pr[E] = 17/29, Pr[F] = 13/29, and Pr[EN F] = 8/29.…

A: Given, P(E) = 1729P(F) = 1329P(E∩F)=829

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Q: Let X1 ~ x² (n, 8) and X2 ~ x² (m, 2) : mX1 find the expected value of X = nX2 Е (X).

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Q: andom ple A moment enerating tion M(t) = e3t+t?. What is the second moment of X about x = 0?

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Q: generating functions: a m(t) = [(1/3)e' +(2/3)]5. e' h m(t).

A: Note: According to the Bartleby guidelines expert solve only one question and rest can be reposted.

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Q: The moment generating function M (t) for random variables y are as follow. Examine and identify the…

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Q: Let X and Y be two independent exponential random variables. X ~

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A: Given : White noise has a single sided PSD of 100 over frequency range of 1 to 26 hz. PSD = 100

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Q: if x be a random variable with moment generating function m,(t) = (0.6 + 0.4e')1º then E(x)= %3D

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Q: 1. Random variable X has p.d.f 6e-6z x > 0 fx(x) = otherwise and let Y = ex.

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A: Given that,  X: 1, 2, 3 Where P(X= 1)= 0.2  Let P(X=2)= a and P(X=3)= b  And E(X) = 2